Finding the Third Proportional to 35,340 and 77,364

Step by Step Solution

1. Step 1: Write the proportion equation
   35,340 : 77,364 = 77,364 : x
2. Step 2: Convert to fraction form
   35,340/77,364 = 77,364/x
3. Step 3: Cross multiply
   35,340x = 77,364 × 77,364
4. Step 4: Simplify right side
   35,340x = 5,985,188,496
5. Step 5: Solve for x
   x = 5,985,188,496/35,340
6. Step 6: Final answer
   x = 169,360.17